//At the moment of the big bang , the universe expanded at a rate far exceeding the speed of light//
Probably this is "inflation" - some people don't like this idea but it has been very sucessful in explaining many observations and is so generally accepted.
//which is why stars that have come into existence are at a position in the universe which is so many light years away from the position of the earth in the universe ; which is why the light from these stars are only just reacing us.//
Not necessarilly due to the rapid "inflationary" period - the Universe is still expanding slower, carrying stars further away.
Do not fall into the trap of thinki the big bang was an explosion of mass and energy into an empty Universe.
Physical space itself was created at that time.
When we say the Universe is expanding we don't mean the debris from an explosion is just moving, but the actual fabric of space is expanding



